110100101011011 has 48 divisors (see below), whose sum is σ = 164000650544640. Its totient is φ = 71123840424000.

The previous prime is 110100101010997. The next prime is 110100101011079. The reversal of 110100101011011 is 110110101001011.

It is not a de Polignac number, because 110100101011011 - 2²⁵ = 110100067456579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100101010984 and 110100101011002.

It is not an unprimeable number, because it can be changed into a prime (110100101019011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803916406 + ... + 804053348.

It is an arithmetic number, because the mean of its divisors is an integer number (3416680219680).

Almost surely, 2^{110100101011011} is an apocalyptic number.

110100101011011 is a deficient number, since it is larger than the sum of its proper divisors (53900549533629).

110100101011011 is a wasteful number, since it uses less digits than its factorization.

110100101011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146856 (or 146853 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110100101011011 its reverse (110110101001011), we get a palindrome (220210202012022).

The spelling of 110100101011011 in words is "one hundred ten trillion, one hundred billion, one hundred one million, eleven thousand, eleven".